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图学学报 ›› 2021, Vol. 42 ›› Issue (3): 517-524.DOI: 10.11996/JG.j.2095-302X.2021030517

• 数字化设计与制造 • 上一篇    

基于参数曲面的增材制造保形晶格结构生成方法

  

  1. 北京航空航天大学机械工程及自动化学院,北京 100191
  • 出版日期:2021-06-30 发布日期:2021-06-29

Parametric surface-based additive manufacturing conformal lattice structure generation method 

  1. School of Mechanical Engineering and Automation, Beihang University, Beijing 100191, China
  • Online:2021-06-30 Published:2021-06-29

摘要: 晶格结构因其具备特殊的机械性能,已成为增材制造复杂结构设计和制造的重要研究领域之一。 针对传统的模型晶格结构生成方法需要通过对参数化建模的晶格结构网格进行裁剪或对其网格进行保形变形 实现,且生成效率较低的问题,提出一种基于参数曲面的增材制造保形晶格结构生成方法,实现晶格结构对曲 面空间的适应和高效生成。首先,基于一种矩阵方法完成晶格结构骨架的表达和构造。其次,利用点与曲面、 曲线与曲面、曲面与曲面所形成的 3 种封闭空间,对晶格结构骨架进行保形变形,使晶格结构适应曲面空间。 最后,采用基于晶格结构骨架的网格生成和拼接方法,生成保形晶格结构的网格模型。通过组件应用架构(CAA) 二次开发方法提取计算机辅助三维交互应用软件(CATIA)模型的参数曲面,实现保形晶格结构模型的高效生成, 并表现出良好的曲面空间适应性,证明该方法具有一定工程价值。

关键词: 增材制造, 晶格结构, 参数曲面, 保形变形, 组件应用架构 

Abstract: The lattice structure has become one of the most important research fields in the design and manufacture of complex structures in additive manufacturing, because of its special mechanical properties. The conventional method for model lattice structure generation is achieved by trimming the parametric modeling lattice structure grid or by performing conformal deformation of the lattice structure. Such methods are relatively inefficient. A conformal lattice structure generation method was proposed based on parametric surface for additive manufacturing, which can realize the adaptation and efficient generation of lattice structure in surface space. Firstly, a matrix-based approach was proposed to express and construct the lattice structure frame. Then, three types of enclosed spaces, which were formed by point-surface, curve-surface, and surface-surface patterns, were implemented to perform conformal transformation on the lattice frame to adapt the surface space. Finally, a grid generation and splicing method based on the lattice structure skeleton was employed to generate the mesh model of the conformal lattice structure. The parametric surface was extracted from the CATIA model based on CAA to generate the conformal lattice structures effectively, and the structures can adapt to the surface space well, which proves the potential value for the engineering implementation and application of the method. 

Key words: additive manufacturing, lattice structure, parametric surface, conformal transformation, component application architecture 

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